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Finding the Third Proportional to 246,091.50 and 385,542

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Solution

The third proportional to 246,091.50 and 385,542 is: 604,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,091.50 : 385,542 = 385,542 : x
  2. Step 2: Convert to fraction form
    246,091.50/385,542 = 385,542/x
  3. Step 3: Cross multiply
    246,091.50x = 385,542 × 385,542
  4. Step 4: Simplify right side
    246,091.50x = 148,642,633,764
  5. Step 5: Solve for x
    x = 148,642,633,764/246,091.50
  6. Step 6: Final answer
    x = 604,013.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.